λ
Harmonic Matrix

4,982,107

13 × 179 × 2141
Deficient Odd Composite

4,982,107 has digital root 4. The neighboring primes are 4982101 and 4982119; its proper-divisor sum differs from the starting integer by -4,566,374.

Prime Factor Structure

Factorization String 13 × 179 × 2141
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,397,840
Proper Divisor Sum 415,733
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4982101 ← → #4982119

Radix Representation

Decimal 4982107
Binary 10011000000010101011011 (23 bits)
Octal 0o23002533
Hexadecimal 0x4C055B

Divisor Catalog (8)

1 13 179 2,141 2,327 27,833 383,239 4,982,107

Collatz Trajectory (100 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,982,107 14,946,322 7,473,161 22,419,484 11,209,742 5,604,871 16,814,614 8,407,307 25,221,922 12,610,961 37,832,884 18,916,442 9,458,221 28,374,664 14,187,332 7,093,666 3,546,833 10,640,500 5,320,250 2,660,125 7,980,376 3,990,188 1,995,094 997,547 2,992,642 1,496,321 4,488,964 2,244,482 1,122,241 3,366,724 1,683,362 841,681 2,525,044 1,262,522 631,261 1,893,784 946,892 473,446 236,723 710,170 355,085 1,065,256 532,628 266,314 133,157 399,472 199,736 99,868 49,934 24,967 74,902 37,451 112,354 56,177 168,532 84,266 42,133 126,400 63,200 31,600

More profiles

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